Nonlinear Entanglement and its Application to Generating Cat States

Y. Shen, S. M. Assad, N. B. Grosse, X. Y. Li, M. D. Reid, and P. K. Lam

Phys. Rev. Lett. 114, 100403 – Published 10 March 2015

Abstract

The Einstein-Podolsky-Rosen (EPR) paradox, which was formulated to argue for the incompleteness of quantum mechanics, has since metamorphosed into a resource for quantum information. The EPR entanglement describes the strength of linear correlations between two objects in terms of a pair of conjugate observables in relation to the Heisenberg uncertainty limit. We propose that entanglement can be extended to include nonlinear correlations. We examine two driven harmonic oscillators that are coupled via third-order nonlinearity can exhibit quadraticlike nonlinear entanglement which, after a projective measurement on one of the oscillators, collapses the other into a cat state of tunable size.

Received 21 May 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.100403

Authors & Affiliations

Y. Shen^1,2,3, S. M. Assad², N. B. Grosse², X. Y. Li¹, M. D. Reid⁴, and P. K. Lam^1,2,*

¹College of Precision Instrument and Optoelectronics Engineering, Key Laboratory of Optoelectronics Information Technology of Ministry of Education, Tianjin University, Tianjin 300072, China
²Centre for Quantum Computation and Communication Technology, Research School of Physics and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia
³Department of Physics, The National University of Defense Technology, Changsha 410073, China
⁴Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Melbourne, Victoria 3122, Australia

^*ping.lam@anu.edu.au

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Vol. 114, Iss. 10 — 13 March 2015

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